8r^2=32r

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Solution for 8r^2=32r equation:


Simplifying
8r2 = 32r

Solving
8r2 = 32r

Solving for variable 'r'.

Reorder the terms:
-32r + 8r2 = 32r + -32r

Combine like terms: 32r + -32r = 0
-32r + 8r2 = 0

Factor out the Greatest Common Factor (GCF), '8r'.
8r(-4 + r) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(-4 + r)' equal to zero and attempt to solve: Simplifying -4 + r = 0 Solving -4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + r = 0 + 4 r = 0 + 4 Combine like terms: 0 + 4 = 4 r = 4 Simplifying r = 4

Solution

r = {0, 4}

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